Pith. sign in

Paper Citation Record · LEDGER

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.07216.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.07216 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:49:48.697778Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy12
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55d93e69-6425-4e44-b785-b38fd3ac23c7 · outbound

This paper cites Ball,Logarithmically concave functions and sections of convex sets in Rn, Studia Math.88(1988), no.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Ball,Logarithmically concave functions and sections of convex sets in Rn, Studia Math.88(1988), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.962397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.627732Z digest=sha256:97eb028e5e9b1526405ad64ddf46fb50b402ba0e63e2aa175c8b49ece33e7b93

Observation bee22e76-f719-446a-b7c3-64bb5fc92923 · outbound

This paper cites The slicing conjecture via small ball estimates.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position The slicing conjecture via small ball estimates

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T12:49:48.632360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:49:48.632360Z digest=sha256:bbf99709077c18b3f2579f0dae3638a752dddab1637809111357bc6d584177e2

Observation 904a7beb-c970-4c98-a106-cf40cb35aec4 · outbound

This paper cites Optimal $MM^*$ bounds for convex bodies.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Optimal $MM^*$ bounds for convex bodies

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T12:49:48.799997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.636758Z digest=sha256:5f05b0b1fc1e49932ef0569fc1a88ac4ad3af7a2f9258aedce6fd532a0d9ca96

Observation 98ebf9a3-4006-433a-9227-5b28a419933c · outbound

This paper cites Distances between non-symmetric convex bodies: optimal bounds up to polylog.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Distances between non-symmetric convex bodies: optimal bounds up to polylog

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T12:49:48.641053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:49:48.641053Z digest=sha256:b6667609760ac218790094ae4d1148c2e994efc22da34d7768de78b3a537b0fe

Observation 92763c40-57d6-4c09-87a7-675f0936615b · outbound

This paper cites Borell,Convex measures on locally convex spaces, Ark.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Borell,Convex measures on locally convex spaces, Ark

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.950273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.645722Z digest=sha256:5c4929b8892b444b99c839953765234eefc064f1a1a106770924661a2e874695

Observation 250fa70f-fa91-4421-95fd-4a703fcc7f97 · outbound

This paper cites Bourgain,On high-dimensional maximal functions associated to convex bodies, Amer.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Bourgain,On high-dimensional maximal functions associated to convex bodies, Amer

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.938841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.649831Z digest=sha256:0e89dd4ff24d2ba5398140de5b6f379b961e3022a174da857fdd3db798de9fd9

Observation 5df22d07-e5b2-4db3-9493-d7ad9dc31484 · outbound

This paper cites Brazitikos, A.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Brazitikos, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.928186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.654432Z digest=sha256:9d7245425c8fa1a80b518a361f3a31e0c89a95033336a5015c41317a5b3a122c

Observation 12eda940-f7cd-4552-be55-1542124d67df · outbound

This paper cites Dafnis and G.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Dafnis and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.917188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.658369Z digest=sha256:9441c17887c1317cae84472fc2682a222675535d67133b3d54608c8e14b0659f

Observation 6602218b-86b9-477e-a859-f4b58d14f007 · outbound

This paper cites Giannopoulos and E.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Giannopoulos and E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.905143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.662060Z digest=sha256:da8720ad1e860768ddf000cde57f7a3d7c5ef45fc0593c7373055de2f1667d06

Observation 470d1023-95ac-4cfa-9dfd-9006c566d3bb · outbound

This paper cites Giannopoulos, P.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Giannopoulos, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.891866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.665951Z digest=sha256:130ad133066f7d87e42f7a5bebfb8a5fbbf08f53829010130702f776810b98c8

Observation 6cc75e8c-97d1-4201-9a96-397380cda761 · outbound

This paper cites A note on Bourgain's slicing problem.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position A note on Bourgain's slicing problem

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T12:49:48.669974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:49:48.669974Z digest=sha256:64c14a1bd18672929950a76a91ef79c285c414216da687d96b3eca832535ce5c

Observation 44c1704a-94f4-4d34-b276-8906b16c9292 · outbound

This paper cites Klartag and J.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Klartag and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.878007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.674066Z digest=sha256:9a3aaff00462622d91b578cf3e420e003d9ae2d3e3fd55ae7dbf8077141e9935

Observation 000477da-8f95-4397-9b42-5e980f7d45a0 · outbound

This paper cites Klartag and E.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Klartag and E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.865785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.677942Z digest=sha256:85b80dab1f265f8863c67aa840e9953c1dbd3cc9ac048420b7b46d424e3bf7ba

Observation 9d9eca05-6fec-443c-ae17-c461aa161a3a · outbound

This paper cites The KLS constant is $O(\log^{1/4} n)$.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position The KLS constant is $O(\log^{1/4} n)$

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-10T12:49:48.756638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.681953Z digest=sha256:ff063296e2f3c9653eb81e1de47c3011863f0a97e80d61a05f72161d13d27db0

Observation 5d5619b7-8fbf-4083-a283-3844f22eda2e · outbound

This paper cites Milman,On the mean-width of isotropic convex bodies and their associated Lp- centroid bodies, Int.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Milman,On the mean-width of isotropic convex bodies and their associated Lp- centroid bodies, Int

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.853199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.686138Z digest=sha256:3b7c557a00ff692a31b6d62c857a1a5a3e9e258585088ba47efa5540b58a79b8

Observation 6069b36f-775b-4ad4-9d6a-c3e312086c03 · outbound

This paper cites Paouris,Small ball probability estimates for log-concave measures, Trans.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Paouris,Small ball probability estimates for log-concave measures, Trans

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.840265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.689823Z digest=sha256:0981e68dc6cbc0021d6effe26807d5811fd18a40e04c0d443dc3bdbc97aea18d

Observation 590e63d8-157b-47e5-8b0d-6a3bb35223ad · outbound

This paper cites Optimal mean width and metric entropy estimates for convex bodies.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Optimal mean width and metric entropy estimates for convex bodies

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T12:49:48.736741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.693544Z digest=sha256:e2fab046715304d9c203beb6a4ed9365f00ab5c3f1963316b0dbad7c1031f8d2

Observation e6540d8b-2f05-405b-af12-5cc2ab69d6d2 · outbound

This paper cites Vritsiou,Regular ellipsoids and a Blaschke–Santal´ o-type inequality for projections of non-symmetric convex bodies, J.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Vritsiou,Regular ellipsoids and a Blaschke–Santal´ o-type inequality for projections of non-symmetric convex bodies, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.826714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T12:49:48.697778Z digest=sha256:9f3e189903b3acb9962d5e18fe6cd2aca213777995ad014af0def60963f5706b

Pith citing papers

No inbound Pith citation observations are available.